The sub-tangent at any point of the curve xm yn=am+1 va
![The sub-tangent at any point of the curve xm yn=am+1 va](/img/relate-questions.png)
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The sub-tangent at any point of the curve xm yn=am+1 varies as
A.
(Abscissa)2
B.
(Abscissa)3
C.
Abscissa
D.
Ordinate
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
We have, xm yn=am+1⇒m log x+n log y=(m+1)log a∴mx+nydydx=0⇒dxdy=nxmy∴Sub−tangent==∣∣ydxdy∣∣=nxm ax.
Hence (c) is the correct answer.